A course on optimization and best approximation:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York
Springer-Verlag
1972
|
| Series: | Lecture notes in mathematics
257 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 233 Seiten |
| ISBN: | 3540057641 0387057641 |
Staff View
MARC
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| 100 | 1 | |a Holmes, Richard B. |4 aut | |
| 245 | 1 | 0 | |a A course on optimization and best approximation |c Richard B. Holmes |
| 264 | 1 | |a Berlin ; Heidelberg ; New York |b Springer-Verlag |c 1972 | |
| 300 | |a VIII, 233 Seiten | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 257 | |
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| 650 | 4 | |a Optimisation mathématique | |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
Part I. Preliminaries 1
§1. Notation 1
§2. The Hahn Banach Theorem 2
§3. The Separation Theorems 4
§4. The Alaoglu Bourbaki Theorem 7
§5. The Krein Milman Theorem 8
Part 11. Theory of Optimization 14
§6. Convex Functions 14
§7. Directional Derivatives 16
§8. Subgradients 20
§9. Normal Cones 23
§10. Subdifferential Formulas 25
§11. Convex Programs 29
§12. Kuhn Tucker Theory 32
§13. Lagrange Multipliers 36
§14. Conjugate Functions 42
§15. Polarity 48
§16. Dubovitskii Milyutin Theory 51
§17. An Application 56
§18. Conjugate Functions and Subdifferentials 58
§19. Distance Functions 61
§20. The Fenchel Duality Theorem 65
§21. Some Applications 70
Part III. Theory of Best Approximation 76
§22. Characterization of Best Approximations 76
§23. Extremal Representations 81
§24. Application to Gaussian Quadrature 88
§25. Haar Subspaces 91
§26. Chebyshev Polynomials 98
§27. Rotundity 105
§28. Chebyshev Subspaces 109
§29. Algorithms for Best Approximation 118
§30. Proximinal Sets 123
VIII
Part IV. Comments on the Problems 128
Bibliography 138
Part V. Selected Special Topics 145
§31. E spaces 145
§32. Metric Projections 157
§33. Optimal Estimation 177
§34. Quasi Solutions 203
§35. Generalized Inverses 214
|
| any_adam_object | 1 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)889262450 (DE-599)BVBBV002279389 |
| dewey-full | 515/.7 510/.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515/.7 510/.8 |
| dewey-search | 515/.7 510/.8 |
| dewey-sort | 3515 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002279389 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:43:16Z |
| institution | BVB |
| isbn | 3540057641 0387057641 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001497752 |
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| physical | VIII, 233 Seiten |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Springer-Verlag |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Holmes, Richard B. aut A course on optimization and best approximation Richard B. Holmes Berlin ; Heidelberg ; New York Springer-Verlag 1972 VIII, 233 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 257 Approximation, Théorie de l' Matematica Da Computacao larpcal Optimisation mathématique Programacao Matematica larpcal Approximation theory Functional analysis Mathematical optimization Optimierung (DE-588)4043664-0 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Optimierung (DE-588)4043664-0 s DE-604 Approximationstheorie (DE-588)4120913-8 s Erscheint auch als Online-Ausgabe 978-3-540-05764-2 Lecture notes in mathematics 257 (DE-604)BV000676446 257 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001497752&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Holmes, Richard B. A course on optimization and best approximation Lecture notes in mathematics Approximation, Théorie de l' Matematica Da Computacao larpcal Optimisation mathématique Programacao Matematica larpcal Approximation theory Functional analysis Mathematical optimization Optimierung (DE-588)4043664-0 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4120913-8 |
| title | A course on optimization and best approximation |
| title_auth | A course on optimization and best approximation |
| title_exact_search | A course on optimization and best approximation |
| title_full | A course on optimization and best approximation Richard B. Holmes |
| title_fullStr | A course on optimization and best approximation Richard B. Holmes |
| title_full_unstemmed | A course on optimization and best approximation Richard B. Holmes |
| title_short | A course on optimization and best approximation |
| title_sort | a course on optimization and best approximation |
| topic | Approximation, Théorie de l' Matematica Da Computacao larpcal Optimisation mathématique Programacao Matematica larpcal Approximation theory Functional analysis Mathematical optimization Optimierung (DE-588)4043664-0 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| topic_facet | Approximation, Théorie de l' Matematica Da Computacao Optimisation mathématique Programacao Matematica Approximation theory Functional analysis Mathematical optimization Optimierung Approximationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001497752&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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